Since the discovery of the
Standard-Model-like (SM-like) Higgs boson
at the Large Hadron Collider
(LHC) [1]}, [2]},
High energy physics have entered a new era.
High-precision measurements of the Higgs
properties are the top priority tasks at
the LHC. So far, most of the measurements
at the LHC
focus on the on-shell Higgs productions and
on-shell Higgs decay channels. The data
shows that the Higgs signal strengths
are in agreement with the SM predictions.
The above measurements are planned
to probe as precisely as possible in
near future
for the high-precision tests of
the SM as well as extracting
new physics beyond the SM (BSM).
Besides that, in order to explore the nature
of Higgs sector at different energy scales,
off-shell Higgs
decay channels are of great interests.
Recently, off-shell Higgs decay
\(H^*\rightarrow Z^*Z^* \rightarrow 4\) 
leptons have been
measured at the LHC in Refs.[3]}, [4]}, [5]}, [6]}, [7]}, [8]}.
